多項式ポリトープ解析のための Stability Feeler の提案 Stability Feeler : A Tool for Analysis of Polytopic Polynomials

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著者

    • 松田 忠典 MATSUDA Tadasuke
    • 京都工芸繊維大学 工芸学部 電子情報工学科 Department of Electronics and Information Science, Faculty of Engineering and Design, Kyoto Institute of Technology
    • 川端 啓史 KAWABATA Keishi
    • 京都工芸繊維大学 工芸学部 電子情報工学科 Department of Electronics and Information Science, Faculty of Engineering and Design, Kyoto Institute of Technology
    • 森 武宏 MORI Takehiro
    • 京都工芸繊維大学 工芸学部 電子情報工学科 Department of Electronics and Information Science, Faculty of Engineering and Design, Kyoto Institute of Technology

抄録

Stability analysis of a linear uncertain polynomial system in real parameter space is one of central themes of recent control theory. It is generally very difficult to analyze the stability of such a system because the number of its characteristic polynomials to be analyzed becomes enormous. A parallelotope of polynomials is a typical type of uncertain polynomials. Though a number of analysis methods for such a parallelotope are at our hand, they mainly focus on stability check of <i>given</i> polynomials and hardly give information on how for the certain interested parameter can be extended for stability. To solve this problem, we propose a novel tool for stability analysis called "Stability Feeler". This concept leads to an algorithm which determines <i>D</i>-stability intervals along a given line in the polynomial coefficient space. With the tool, stability problems of parallelotopes can be successfully resolved. Two numerical examples are shown to support this concept.

収録刊行物

  • 電気学会論文誌. C, 電子・情報・システム部門誌 = The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society  

    電気学会論文誌. C, 電子・情報・システム部門誌 = The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society 126(11), 1311-1317, 2006-11-01 

    The Institute of Electrical Engineers of Japan

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各種コード

  • NII論文ID(NAID)
    10018318272
  • NII書誌ID(NCID)
    AN10065950
  • 本文言語コード
    JPN
  • 資料種別
    ART
  • ISSN
    03854221
  • NDL 記事登録ID
    8560259
  • NDL 雑誌分類
    ZN31(科学技術--電気工学・電気機械工業)
  • NDL 請求記号
    Z16-795
  • データ提供元
    CJP書誌  CJP引用  NDL  J-STAGE 
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